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Question
Classify each element of `{sqrt(7), (-1)/4, 0, 3, 1, 4, 4, 22/7}` as a member of N, Q, R − Q or Z
Solution
`sqrt(7)` is an irrational number.
∴ `sqrt(7)` ∈ R – Q
`- 1/4` is a negative rational number.
∴ `- 1/4` ∈ Q
0 is an integer.
∴ 0 ∈ Z, Q
3.14 is a rational number.
∴ 3.14 ∈ Q
4 is a positive integers.
∴ 4 ∈ Z, N, Q
`22/7` is an rational number.
∴ `22/7` ∈ Q
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